72880128 has 104 divisors (see below), whose sum is σ = 216242400. Its totient is φ = 24256512.

The previous prime is 72880117. The next prime is 72880133. The reversal of 72880128 is 82108827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72880092 and 72880101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110263 + ... + 110921.

Almost surely, 2^72880128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108121200).

72880128 is an abundant number, since it is smaller than the sum of its proper divisors (143362272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72880128 is an equidigital number, since it uses as much as digits as its factorization.

72880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 72880128 is about 8536.9858849596. The cubic root of 72880128 is about 417.7050336936.

The spelling of 72880128 in words is "seventy-two million, eight hundred eighty thousand, one hundred twenty-eight".